On the numerical solution of differential--algebraic equations with index-2

DOI10.1016/j.amc.2003.08.018zbMath1061.65074OpenAlexW1996093256MaRDI QIDQ1888571

Ercan Çelik

Publication date: 23 November 2004

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2003.08.018

zbMATH Keywords

numerical examplePadé approximationindex reductionDifferential-algebraic equationstruncated power series solutionIndex-2

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Numerical methods for differential-algebraic equations (65L80)

Related Items (12)

Effects on the chaotic system of fractional order \(PI^{\alpha }\) controller ⋮ On the solution of the Abel equation of the second kind by the shifted Chebyshev polynomials ⋮ G-stability one-leg hybrid methods for solving DAEs ⋮ Numerical solution of differential-algebraic equations with index-2 ⋮ Numerical solution of differential algebraic equations using a multiquadric approximation scheme ⋮ Continuation method for computing certain singular points for index-1 differential algebraic equations ⋮ On the numerical solution of differential-algebraic equations with index-3 ⋮ Approximate solution of a reduced-type index-\(k\) Hessenberg differential-algebraic control system ⋮ The Differential Transform Method for the Numerical Treatment of Differential-Algebraic Equations with Index 2 ⋮ Numerical Treatment of Differential-Algebraic Equations with Index 2 by Reducing the Index ⋮ An algorithm for solving DAEs with mechanization ⋮ A new numerical algorithm for the Abel equation of the second kind

Cites Work

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• On the numerical solution of differential-algebraic equations by Padé series
• ODE Methods for the Solution of Differential/Algebraic Systems
• Projected Implicit Runge–Kutta Methods for Differential-Algebraic Equations
• On Symmetric Schemes and Differential-Algebraic Equations
• Collocation Software for Boundary Value Differential-Algebraic Equations

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